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Topology of the icosidodecahedral arrangement

Geometric Topology 2019-08-06 v1

Abstract

The icosidodecahedral arrangement is introduced by M. Yoshinaga (arXiv:1902.06256) as the first known example that is a hyperplane arrangement whose Milnor fiber has torsions in first integral homology. In this note, we prove that the icosidodecahedral arrangement is K(π,1)K(\pi,1), hence so is its Milnor fiber.

Keywords

Cite

@article{arxiv.1908.01280,
  title  = {Topology of the icosidodecahedral arrangement},
  author = {Ye Liu},
  journal= {arXiv preprint arXiv:1908.01280},
  year   = {2019}
}

Comments

6 pages, 3 figures